Algebra and Functions

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    Functions shift the emphasis from a point-by-point relationship between two variables (input/output) to considering an entire set of ordered pairs (where each first element is paired with exactly one second element) as an entity with its own features and characteristics.

    1. 1

      When given a relation in table form, identify the graph that represents the relation (Ex: The points (5,5); (6,4); (3,7) are given to the student along with three graphs, and the student chooses the graph that represents the relation).M.A.AAS.12.14

    2. 2

      Graphs can be used to obtain exact or approximate solutions of equations, inequalities, and systems of equations and inequalities – including systems of linear equations in two variables and systems of linear and quadratic equations (given or obtained by using technology). M.A.AAS.12.15

    3. 3

      Graphs can be used to obtain exact or approximate solutions of equations, inequalities, and systems of equations and inequalities – including systems of linear equations in two variables and systems of linear and quadratic equations (given or obtained by using technology). M.A.AAS.12.18

    4. 4

      Functions can be described by using a variety of representations: mapping diagrams, function notation (e.g., f(x) = x2), recursive definitions, tables, and graphs.M.A.AAS.12.21

    5. 5

      Functions can be described by using a variety of representations: mapping diagrams, function notation (e.g., f(x) = x2), recursive definitions, tables, and graphs.M.A.AAS.12.22

    6. 6

      Functions that are members of the same family have distinguishing attributes (structure) common to all functions within that family.M.A.AAS.12.24

    7. 7

      Functions can be represented graphically and key features of the graphs, including zeros, intercepts, and, when relevant, rate of change and maximum/minimum values, can be associated with and interpreted in terms of the equivalent symbolic representation. M.A.AAS.12.28

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    Functions can be represented graphically and key features of the graphs, including zeros, intercepts, and, when relevant, rate of change and maximum/minimum values, can be associated with and interpreted in terms of the equivalent symbolic representation.  

    1. 8

      Given the graph of a linear function, identify the intercepts, the maxima, and minima.M.A.AAS.12.30

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    Functions model a wide variety of real situations and can help students understand the processes of making and changing assumptions, assigning variables, and finding solutions to contextual problems.

    1. 9

      Choose the graph of the linear function that represents a solution in a real-world scenario. (Ex: Choose the graph that shows a steady increase or decrease rather than a graph with fluctuating data).M.A.AAS.12.31

Frequently asked questions

What grade levels do these standards cover?
Grade 12
Where can I read the official document?
2019 Alabama Alternate Achievement Standards